What is the Greatest Common Factor of 53445 and 53465?

Greatest common factor (GCF) of 53445 and 53465 is 5.

GCF(53445,53465) = 5

We will now calculate the prime factors of 53445 and 53465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53445 and 53465.

How to find the GCF of 53445 and 53465?

We will first find the prime factorization of 53445 and 53465. After we will calculate the factors of 53445 and 53465 and find the biggest common factor number .

Step-1: Prime Factorization of 53445

Prime factors of 53445 are 3, 5, 7, 509. Prime factorization of 53445 in exponential form is:

53445 = 3¹ × 5¹ × 7¹ × 509¹

Step-2: Prime Factorization of 53465

Prime factors of 53465 are 5, 17, 37. Prime factorization of 53465 in exponential form is:

53465 = 5¹ × 17² × 37¹

Step-3: Factors of 53445

List of positive integer factors of 53445 that divides 53445 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 509, 1527, 2545, 3563, 7635, 10689, 17815

Step-4: Factors of 53465

List of positive integer factors of 53465 that divides 53445 without a remainder.

1, 5, 17, 37, 85, 185, 289, 629, 1445, 3145, 10693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53445 and 53465. The biggest common factor number is the GCF number.
So the greatest common factor 53445 and 53465 is 5.

Also check out the Least Common Multiple of 53445 and 53465